• DECOMPOSITION AND GENERALIZED INVERSE FOR QUASI-ROW (COLUMN) SYMMETRIC MATRIX

MEI WANG*, JUNQING WANG

Abstract


In this paper the quasi-row(column) symmetric matrix is considered, its full rank decomposition and singular decomposition are studied, and the generalized inverse for any decomposition is obtained, the relationship between mother matrix and quasi-row(column) symmetric matrix is derived. The results show that the method can not only reduce the calculated amount and memory space, but also can not reduce the numerical accuracy; so extend the results of the related references and spread its application scope.


Keywords


quasi-row (column) symmetric matrix; full rank decomposition; singular decomposition; Moore-Penrose inverse

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